Singular Integral Inequalities and Stability of Semilinear Parabolic Equations

Milan Medved

Address. Department of Mathematical Analysis, Faculty of Mathematics and Physics, Comenius University, Mlynska dolina, 842 15 Bratislava, Slovakia


Abstract. Using a method developed by the author for an analysis of singular integral inequalities a stability theorem for semilinear parabolic PDEs is proved.

AMS classification. 34D05, 35B35, 35K55

Key words. Integral inequality, parabolic equation, stability